Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
144 square cm
Do the Pythagorean theorem
Since sTUV is a square one side is 13 cm
So 5^2 + x^2 = 13^2
25+ x^2 = 169
x^2 = 144
So side rv is 12 cm
Since pqrv is a square you square 12 cm and get 144 square cm for the area.
Do the Pythagorean theorem
Since sTUV is a square one side is 13 cm
So 5^2 + x^2 = 13^2
25+ x^2 = 169
x^2 = 144
So side rv is 12 cm
Since pqrv is a square you square 12 cm and get 144 square cm for the area.
Answer:
144 cm²
Step-by-step explanation:
Finding square STUV's side lengths:
Square the area of square STUV to find the side lengths.
√169 = 13
Therefore, the side lengths of square STUV are 13 cm.
Finding triangle VRS last side length:
Since we now have 2 out of 3 side lengths for triangle VRS and it's a right triangle, we can use Pythagorean Theorem to find the last leg.
a² + b² = c²
a² + 5² = 13²
a² + 25 = 169
a² = 144
√a² = √144
a = 12
Therefore, the last side length is 12 cm.
Square PQRV's area:
Now that we know the side length of square PQRV is 12 cm, simply square the value to find the area.
12² = 144
Therefore, the area of square PQRV is 144 cm².
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.